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Finding the Third Proportional to 210,932 and 455,013

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Solution

The third proportional to 210,932 and 455,013 is: 981,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,932 : 455,013 = 455,013 : x
  2. Step 2: Convert to fraction form
    210,932/455,013 = 455,013/x
  3. Step 3: Cross multiply
    210,932x = 455,013 × 455,013
  4. Step 4: Simplify right side
    210,932x = 207,036,830,169
  5. Step 5: Solve for x
    x = 207,036,830,169/210,932
  6. Step 6: Final answer
    x = 981,533.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.